The concept of Rockafellian relaxation can be traced back to [1]} and the perspective of viewing a minimization problem as a member of a family of perturbed problems, with this family being specified by a function of both decision variables and perturbation parameters. We refer to such functions as Rockafellians, while the name “bifunctions” appears in the pioneering development of convex duality [2]} and also in extensions to infinite-dimensional convex analysis [3]} and nonconvex problems [4]}. The name “Rockafellian” emerges in [5]} and [6]}, with “perturbation function” [7]} and “bivariate function” [8]} also being found in the literature.
